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JulsSmile [24]
1 year ago
5

The test statistic of z= -2.39 is obtained when testing the claim that p<0.52.

Mathematics
1 answer:
krek1111 [17]1 year ago
6 0

Considering the situation described, we have that:

a) The critical value is of z = -1.645.

b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.

<h3>What is the critical value?</h3>

We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.

<h3>What is the decision?</h3>

Considering the test statistic, for a left-tailed test, we have that:

  • Less than the critical value: Reject H0.
  • Equal or greater: Do not reject.

In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.

More can be learned about the test of an hypothesis at brainly.com/question/13873630

#SPJ1

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A spinner has three sections. This table shows the results of spinning the arrow on the spinner 80 times.
UNO [17]

The experimental probability of the arrow stopping on Section 2 will be \rm \frac{3}{8}. is the ratio of the favorable event to the total number of events.

<h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

No of arrows given in the different section ;

Section 1=18

Section 2=30

Section 3=32

The probability that the arrow stopping on Section 2 is found as;

\rm P = \frac{Favourable \ outcomes }{Total \ outcomes }  \\\\\ P= \frac{30}{18+30+32} \\\\ P=\frac{30}{80}\\\\ P= \frac{3}{8}

Hence, the experimental probability of the arrow stopping on Section 2 will be \rm \frac{3}{8}.

More about the probability link is given below.

brainly.com/question/795909

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7 0
2 years ago
If 100% of a number is 15, what is 50% of the number?
anzhelika [568]

Answer:

Let n be the number

100% of a number is 15 is written as: 100% × n = 15

100% = 100 / 100 = 1

Hence

100% × n = n = 15

We now need to find 50% of the number

50% of 15 = (50 / 100) × 15 = 750 / 100 = 7.5

Step-by-step explanation:

Mark me as brainliest pls

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6 0
3 years ago
*A triangle has sides 42, 4x, and 2x−6. What is the possible range of x?
scoray [572]

Answer:

<h2>The Possible range for x is : ]8 , 18[</h2>

Step-by-step explanation:

To can draw this triangle if:

4x - (2x - 6) < 42 < 4x + (2x - 6)

solve inequality 1 :

4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)

Solve inequality 2 :

42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)

from (1) and (2) we deduce that : 8 < x < 18

3 0
3 years ago
Colin invests £1500 into a savings account. The bank gives 4% compound interest for the first 3 years and 5% thereafter. How muc
fomenos

1500(1+0.04)^3 = 1687.30

1687.30(1+0.05) = 1771.67 to the nearest pound: 1772

6 0
2 years ago
I need help please i will give brainly ​
Arisa [49]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
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